Step-1

Title: Geometry

Grade: Core-SAT3 Lesson: S3-P2

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step Type Explanation Answer

1

Problem

A billiards table has a horizontal radius of measurement 8cm and a vertical radius of 5 cm. Calculate the area of the ellipse. (π = 3.14)

2

Step

Given that the horizontal radius (a) is

the vertical radius (b) is

8 cm

5 cm

3

Formula:

To calculate the area of an ellipse, you can use this simple formula

\$"Area" = π times "horizontal radius" times "vertical radius"\$

4

Step

Substitute the values into the formula

Area = \$3.14 times 8 times 5\$

Area = \$125.66(cm)^2\$

5

Step

So, the area of the ellipse is \$125.66(cm)^2\$

6

Sumup

Can you summarize what you’ve understood in the above steps?

7

Choice.A

This option is incorrect, significantly exceeding the calculated area size

\$540.5(cm)^2\$

8

Choice.B

This is the correct option. It matches the calculated area of the \$125.66(cm)^2\$ when rounded to two decimal places

\$125.66(cm)^2\$

9

Choice.C

This option is incorrect, significantly exceeding the calculated area size

\$504.5(cm)^2\$

10

Choice.D

This option is incorrect, significantly exceeding the calculated area size

\$545.5(cm)^2\$

11

Answer

Option

B

12

Sumup

Can you summarize what you’ve understood in the above steps?


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